{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import utils\n",
    "import pickle\n",
    "%matplotlib inline  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "FREQ_DIST_FILE = '../train-processed-freqdist.pkl'\n",
    "BI_FREQ_DIST_FILE = '../train-processed-freqdist-bi.pkl'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('i', 381548),\n",
       " ('to', 281793),\n",
       " ('the', 260956),\n",
       " ('a', 188931),\n",
       " ('my', 157772),\n",
       " ('and', 151507),\n",
       " ('you', 135604),\n",
       " ('is', 117954),\n",
       " ('it', 116674),\n",
       " ('for', 107988),\n",
       " ('in', 107451),\n",
       " ('of', 91704),\n",
       " ('im', 90385),\n",
       " ('on', 83589),\n",
       " ('me', 80537),\n",
       " ('so', 76252),\n",
       " ('have', 72596),\n",
       " ('that', 71260),\n",
       " ('but', 66351),\n",
       " ('just', 63290)]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with open(FREQ_DIST_FILE, 'rb') as pkl_file:\n",
    "    freq_dist = pickle.load(pkl_file)\n",
    "unigrams = freq_dist.most_common(20)\n",
    "unigrams"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAG2CAYAAAAgBMGIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a10f52ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(1, [10, 7])\n",
    "x = np.array(range(0, 40, 2))\n",
    "y = np.array([i[1] for i in unigrams])\n",
    "my_xticks = [i[0] for i in unigrams]\n",
    "plt.xticks(x, my_xticks, rotation=90)\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(('in', 'the'), 22995),\n",
       " (('i', 'have'), 22519),\n",
       " (('going', 'to'), 21648),\n",
       " (('i', 'am'), 17651),\n",
       " (('for', 'the'), 17526),\n",
       " (('i', 'dont'), 16213),\n",
       " (('on', 'the'), 15744),\n",
       " (('to', 'be'), 15166),\n",
       " (('to', 'go'), 15030),\n",
       " (('to', 'the'), 14961),\n",
       " (('i', 'love'), 14608),\n",
       " (('have', 'to'), 14441),\n",
       " (('i', 'was'), 14342),\n",
       " (('have', 'a'), 14341),\n",
       " (('i', 'cant'), 14093),\n",
       " (('and', 'i'), 14081),\n",
       " (('but', 'i'), 13984),\n",
       " (('of', 'the'), 12563),\n",
       " (('i', 'think'), 12337),\n",
       " (('to', 'get'), 11317)]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with open(BI_FREQ_DIST_FILE, 'rb') as pkl_file:\n",
    "    freq_dist = pickle.load(pkl_file)\n",
    "bigrams = freq_dist.most_common(20)\n",
    "bigrams"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAHKCAYAAABCLTyBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a11dff0d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(1, [10, 7])\n",
    "x = np.array(range(0, 40, 2))\n",
    "y = np.array([i[1] for i in bigrams])\n",
    "my_xticks = [', '.join(i[0]) for i in bigrams]\n",
    "plt.xticks(x, my_xticks, rotation=90)\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "poly1d([ -0.78168997,  13.31234705])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with open(FREQ_DIST_FILE, 'rb') as pkl_file:\n",
    "    freq_dist = pickle.load(pkl_file)\n",
    "unigrams = freq_dist.most_common(100)\n",
    "log_ranks = np.log(range(1, 101))\n",
    "log_freqs = np.log([i[1] for i in unigrams])\n",
    "z = np.polyfit(log_ranks, log_freqs, 1)\n",
    "p = np.poly1d(z)\n",
    "p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfkAAAGJCAYAAACJlEolAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a10f5cdd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(3, [8,6])\n",
    "plt.plot(log_ranks, log_freqs, 'ro')\n",
    "plt.plot(log_ranks,p(log_ranks),'b-')\n",
    "plt.xlabel('log (Rank)')\n",
    "plt.ylabel('log (Freqeuncy)')\n",
    "plt.title('Zipf\\'s Law')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAewAAAG7CAYAAAABoaYvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmLAlSRoBE7YkSSNgwpYkaQT+Pz1dd8/fqD/KAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1090443d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "classifiers = ['Baseline', 'Naive Bayes', 'MaxEnt', 'Decision Tree', 'Random Forest', 'XGBoost', 'SVM', 'MLP', 'LSTM', 'CNN', 'Ensemble']\n",
    "accuracies = [63.48, 79.68, 81.52, 68.1, 77.21, 78.72, 81.55, 81.7, 83.00, 83.34, 83.58]\n",
    "plt.figure(4, [8,6])\n",
    "plt.bar(range(len(classifiers)), accuracies, align='center', alpha=0.5)\n",
    "plt.xticks(range(len(classifiers)), classifiers, rotation=90)\n",
    "plt.ylabel('Accuracy')\n",
    "plt.title('Comparison of Various Classifiers')\n",
    "plt.ylim([60, 90])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
